real vs irrational number

irrational number vs real

real and irrational number both are nouns.

real is an adjective but irrational number is not an adjective.

real is an adverb but irrational number is not an adverb.

Word	Noun	Adjective	Verb	Adverb
real	Yes	Yes	No	Yes
irrational number	Yes	No	No	No

As nouns, irrational number is a hyponym of real; that is, irrational number is a word with a more specific, narrower meaning than real:

real: any rational or irrational number
irrational number: a real number that cannot be expressed as a rational number

Other hyponyms of real include dot product, inner product, scalar product, rational, rational number, irrational.

real (noun)	irrational number (noun)
any rational or irrational number	a real number that cannot be expressed as a rational number
an old small silver Spanish coin
the basic unit of money in Brazil; equal to 100 centavos

real (adjective)	irrational number (adjective)
being or occurring in fact or actuality; having verified existence; not illusory
of, relating to, or representing an amount that is corrected for inflation
no less than what is stated; worthy of the name
having substance or capable of being treated as fact; not imaginary
capable of being treated as fact
not to be taken lightly
(of property) fixed or immovable
being or reflecting the essential or genuine character of something
coinciding with reality

real (adverb)	irrational number (adverb)
used to give emphasis

Difference between real and irrational number

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